Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920f |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
525156819200 = 28 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24167,1445626] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1690:1] |
Generators of the group modulo torsion |
j |
1263257424/425 |
j-invariant |
L |
6.8673377038635 |
L(r)(E,1)/r! |
Ω |
0.90833003702477 |
Real period |
R |
1.8900997953704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
680a1 |
Quadratic twists by: 13 |